Finding the Fourth Proportional to 1,565.69, 2,160.61 and 867.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,565.69 : 2,160.61 = 867.06 : x
2. Step 2: Convert to fraction form
   1,565.69/2,160.61 = 867.06/x
3. Step 3: Cross multiply
   1,565.69x = 2,160.61 × 867.06
4. Step 4: Simplify right side
   1,565.69x = 1,873,376.34
5. Step 5: Solve for x
   x = 1,873,376.34/1,565.69
6. Step 6: Final answer
   x = 1,196.52